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Finding the Third Proportional to 13,592 and 19,141

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Solution

The third proportional to 13,592 and 19,141 is: 26,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592 : 19,141 = 19,141 : x
  2. Step 2: Convert to fraction form
    13,592/19,141 = 19,141/x
  3. Step 3: Cross multiply
    13,592x = 19,141 × 19,141
  4. Step 4: Simplify right side
    13,592x = 366,377,881
  5. Step 5: Solve for x
    x = 366,377,881/13,592
  6. Step 6: Final answer
    x = 26,955.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.